DOI: 10.1088/0266-5611/17/4/317
WoS: 000170573300018
8 Citations
Résumé:

A new nonlinear equation governing asymptotic dynamics of short surface waves is derived by using a short-wave perturbative expansion in an appropriate reduction of the Euler equations. This reduction corresponds to a Green-Naghdi-type equation with a cinematic discontinuity in the surface. The physical system under consideration is an ideal fluid (inviscid, incompressible and without surface tension) in which takes place a steady surface motion. An ideal surface wind on a lake which produces surface flow is a physical environment conducive to the above-mentioned phenomenon. The equation obtained admits peakon solutions with amplitude, velocity and width in interrelation.

Commentaires: SPECIAL ISSUE TO CELEBRATE PIERRE SABATIER'S 65TH BIRTHDAY